Answer:
x = 9; y = 12; u = 24; v = 32
Step-by-step explanation:
The corresponding sides of similar triangles are in the same ratio to each other.
3/5 = (3 + x)/20 Multiply each side by 20
20×3/5 = 3 + x
12 = 3 + x Subtract 3 from each side
x = 9
=====
4/5 = (4 + y)/20 Multiply each side by 20
20×4/5 = 4 + y
16 = 4 + y Subtract 4 from each side
y = 12
=====
3/5 = (3 + x + u)/60 Multiply each side by 60
60×3/5 = 3 + x + u
36 = 3 + x + u Insert the value of x
36 = 3 + 9 + u
36 = 12 + u Subtract 12 from each side
u = 24
=====
4/5 = (4 + y + v)/60 Multiply each side by 60
60×4/5 = 4 + y + v
48 = 4 + y + v Insert the value of y
48 = 4 + 12 + v
48 = 16 + v Subtract 16 from each side
v = 32
x = 9; y = 12; u = 24; v = 32
Amount of tax would be: 6.95*20/100 = 139/100 = 1.39
So, the amount of 20% tax on $6.95 lunch would be $1.39
Lets say x = 89.99 and y = 56.49
P% * x = y
P% = y/x
56.49/89.99 = 0.6277
0.6277 * 100 = 62.77
But because we are looking for how much off the sale is:
100% - 62.77%
= 37.23%
The sale price is 37.23% off.
Answer:
The triangles are similar because angle N=angle E and angle F=angle H.
Angle-Angle (AA or AAA) Similarity theorem: If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Step-by-step explanation:
A represents the speed of the aircraft.
b represents the speed of the bus.
a=2b-5
114/b=218/a
Substitution method
114/b=218/(2b-5)
(2b-5)*(114/b)= 218
(228b-570)/b = 218
228b-570= 218b
228b-218b=570
10b= 570
b=57
Plug the value of b into one of the original equations.
a=2(57)-5
a=114-5
a=109
Final answer:
Average speed of plane= 109
Average speed of bus= 57
